Question 152151
i dont understand these type of questions rationalize
{{{1/(sqrt(6)-sqrt(5))}}}, please write the answers in 
step by step. Thank you
<pre><font size = 4 color = "indigo"><b>
{{{1/(sqrt(6)-sqrt(5))}}}

Form conjugate of the denominator by changing 
the sign of the second term, that is, the conjugate 
is {{{(sqrt(6)+sqrt(5))}}}

Multiply top and bottom by this conjugate:

{{{1(sqrt(6)+sqrt(5))/(sqrt(6)-sqrt(5))(sqrt(6)+sqrt(5))}}}

Distribute out the top and FOIL out the bottom:

{{{(sqrt(6)+sqrt(5))/(sqrt(36)+sqrt(30)-sqrt(30)-sqrt(25))}}}

{{{(sqrt(6)+sqrt(5))/(sqrt(36)+cross(sqrt(30))-cross(sqrt(30))-sqrt(25))}}}

{{{(sqrt(6)+sqrt(5))/(sqrt(36)-sqrt(25))}}}

{{{(sqrt(6)+sqrt(5))/(6-5)}}}

{{{(sqrt(6)+sqrt(5))/1}}}

{{{sqrt(6)+sqrt(5)}}}

Edwin</pre>